Abstracts of CSc. theses in mathematics

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Abstracts of CSc. theses in mathematics

(1991)

Commentationes Mathematicae Universitatis Carolinae

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Pham, Huu Uyen: Semilinear structure of a-languages. Havlas, Josef: N-ary semiheaps. Charamza, Pavel: Isotonic regression and stochastic approximation. Koukal, Stanislav: Piecewise rational interpolations in the use for solving elliptic boundary value problems. Dontová, Eva: Reflexion function and the Dirichlet and Neumann problems. Kopincová, Edita: Methods of geometrical modelling with the reference to the ruled surfaces of revolution. Slovák, Jan: Natural bundles and operators on...

$M$ -estimators of structural parameters in pseudolinear models

Friedrich Liese, Igor Vajda (1999)

Applications of Mathematics

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Real valued $M$ -estimators ${\hat{θ}}_{n} : = min \sum_{1}^{n} ρ (Y_{i} - τ (θ))$ in a statistical model with observations $Y_{i} \sim F_{θ_{0}}$ are replaced by $ℝ^{p}$ -valued $M$ -estimators ${\hat{β}}_{n} : = min \sum_{1}^{n} ρ (Y_{i} - τ (u (z_{i}^{T} β)))$ in a new model with observations $Y_{i} \sim F_{u (z_{i}^{t} β_{0})}$ , where $z_{i} \in ℝ^{p}$ are regressors, $β_{0} \in ℝ^{p}$ is a structural parameter and $u : ℝ \to ℝ$ a structural function of the new model. Sufficient conditions for the consistency of ${\hat{β}}_{n}$ are derived, motivated by the sufficiency conditions for the simpler “parent estimator” ${\hat{θ}}_{n}$ . The result is a general method of consistent estimation in a class of nonlinear (pseudolinear) statistical...

Abstracts of Ph.D. theses in mathematics

(2007)

Commentationes Mathematicae Universitatis Carolinae

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Stolín, Radek: Teaching of financial and insurance mathematics at secondary and higher professional schools – coinsurance in bonus-malus systems in automobile insurance. Olejníèková, Jana: Scientific work of Bohumil Bydžovský. Flašková, Jana: Ultrafilters and small sets. Pražák, Pavel: Differential equations and their applications in economics. Bartl, David: Theorems of the alternative and linear programming in infinite-dimensional spaces. Smetana, Petr: Some problems of the private...

Displaying similar documents to “Abstracts of CSc. theses in mathematics”